What is the Greatest Common Factor of 3174 and 3191?

Greatest common factor (GCF) of 3174 and 3191 is 1.

GCF(3174,3191) = 1

We will now calculate the prime factors of 3174 and 3191, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3174 and 3191.

How to find the GCF of 3174 and 3191?

We will first find the prime factorization of 3174 and 3191. After we will calculate the factors of 3174 and 3191 and find the biggest common factor number .

Step-1: Prime Factorization of 3174

Prime factors of 3174 are 2, 3, 23. Prime factorization of 3174 in exponential form is:

3174 = 2¹ × 3¹ × 23²

Step-2: Prime Factorization of 3191

Prime factors of 3191 are 3191. Prime factorization of 3191 in exponential form is:

3191 = 3191¹

Step-3: Factors of 3174

List of positive integer factors of 3174 that divides 3174 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 529, 1058, 1587

Step-4: Factors of 3191

List of positive integer factors of 3191 that divides 3174 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3174 and 3191. The biggest common factor number is the GCF number.
So the greatest common factor 3174 and 3191 is 1.

Also check out the Least Common Multiple of 3174 and 3191